GCF of 6935/838, 4795/5372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6935/838, 4795/5372 i.e 5/2250868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6935/838, 4795/5372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6935/838,4795/5372?
Given fractions are 6935/838,4795/5372
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6935/838,4795/5372, numerators are 6935,4795
Denominators are 838,5372
The GCF of 6935,4795 is 5 .
LCM of 838,5372 is 2250868.
The greatest common factor of 6935/838,4795/5372 = [GCF of 6935,4795]/[LCM of 838,5372]= 5/2250868
Therefore, the GCF of 6935/838,4795/5372 is 5/2250868.
To find the highest common factor of 6935,4795, we have to find the factors of both numbers and list the highest common factor.
The factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935
The factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795
The HCF of 6935,4795 is 5.
Lets's calculate GCF of 6935,4795
| 5 | 6935, 4795 |
| 1387, 959 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6935,4795 By Matching Biggest Common Factor Method
Now, list down the factors of 6935
:1,5,19,73,95,365,1387,6935
Now, list down the factors of 4795
:1,5,7,35,137,685,959,4795
Greatest Common Factor
We found the factors 6935,4795 . The biggest common factor number is the GCF number.
So the greatest common factor 6935,4795 is 5.
Lets's calculate LCM of 838,5372
| 2 | 838, 5372 |
| 419, 2686 |
∴ So the LCM of the given numbers is 2 x 419 x 2686 = 2250868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2250868
Therefore, the GCF of Fractions 6935/838,4795/5372 is 5/2250868
Least Common Multiple of 838,5372 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 838,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,5372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,5372) x common factors =2 x 1 = 2
LCM(838,5372) = ( 838 × 5372 ) / 2
LCM(838,5372) = 4501736 / 2
LCM(838,5372) = 2250868
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FAQs on GCF of Fractions of 6935/838, 4795/5372
1. What is the HCF of 6935,4795?
The HCF of 6935,4795 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6935/838, 4795/5372?
Answer: GCF of Numerators as per given numbers 6935/838, 4795/5372 is
GCF of Numerators i.e. for 6935,4795 is 5
LCM of denominators i.e. for 838,5372 is 2250868.
Thus, GCF of Fractions is 5/2250868.Finally, GCF of Fractions for 6935/838, 4795/5372 is 5/2250868.